Question 03: Consider two scenarios below:
- A circuit-switching scenario in which Ncs users, each requiring a bandwidth of 20 Mbps, must share a link of capacity 150 Mbps.
- A packet-switching scenario with Nps users sharing a 150 Mbps link, where each user again requires 20 Mbps when transmitting, but only needs to transmit 10 percent of the time.
When circuit switching is used, what is the maximum number of users that can be supported?
1. Suppose packet switching is used. If there are 13 packet-switching users, can this many users be supported under circuit-switching? Yes or No.
2. Suppose packet switching is used. What is the probability that a given (specific) user is transmitting, and the remaining users are not transmitting?
3. Suppose packet switching is used. What is the probability that one user (any one among the 13 users) is transmitting, and the remaining users are not transmitting?
4. When one user is transmitting, what fraction of the link capacity will be used by this user? Write your answer as a decimal.
5. What is the probability that any 5 users (of the total 13 users) are transmitting and the remaining users are not transmitting?
6. What is the probability that more than 7 users are transmitting?